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Finding the Fourth Proportional to 10,354.57, 15,531.95 and 2,958.98

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Solution

The fourth proportional to 10,354.57, 15,531.95 and 2,958.98 is: 4,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.57 : 15,531.95 = 2,958.98 : x
  2. Step 2: Convert to fraction form
    10,354.57/15,531.95 = 2,958.98/x
  3. Step 3: Cross multiply
    10,354.57x = 15,531.95 × 2,958.98
  4. Step 4: Simplify right side
    10,354.57x = 45,958,659.15
  5. Step 5: Solve for x
    x = 45,958,659.15/10,354.57
  6. Step 6: Final answer
    x = 4,438.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.